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The height of a cone is 10 cm. The cone ...

The height of a cone is 10 cm. The cone is divided into two parts using a plane parallel to its base at the middle of its height. Find the ratio of the volumes of the two parts.

Text Solution

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The correct Answer is:
`48 cm^2`
Let the radii of its circular ends be R cm and r cm, and slant height be l cm. Then,
`2piR=18rArrpiR=9`
`2pir=6rArrpir=3.`
`"Also, l = 4cm (given)"`
Curved surface area of the frustum
`=pil(R+r)" sq units"`
`=lxx(piRxxpir)=4xx(9+3)cm^(2)=48cm^(2)`.
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